Range of $y=\large\frac{x+2}{2x^2+3x+6}$ if $x$ is real is :

Question

$\begin{array}{1 1}(A)\;\big[-\large\frac{1}{13},\frac{1}{3}\big]&(B)\;\big[-\large\frac{1}{3},\frac{-1}{13}\big]\\(C)\;\big[-\large\frac{1}{3},\frac{1}{3}\big]&(D)\;\big[-\large\frac{1}{13},\frac{1}{13}\big]\end{array} $